Atkin-Lehner |
2+ 3- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642bb |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-1597486544978688 = -1 · 28 · 319 · 7 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-126693,-17431659] |
[a1,a2,a3,a4,a6] |
Generators |
[5169:368112:1] |
Generators of the group modulo torsion |
j |
-308500570976833873/2191339567872 |
j-invariant |
L |
3.9665021541533 |
L(r)(E,1)/r! |
Ω |
0.12647275448553 |
Real period |
R |
3.9203128904639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214bg1 |
Quadratic twists by: -3 |